What is the domain of $f(x)=tanx$ ?

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What is the domain of $f(x)=tanx$ ?

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Answer 1 · 2015-04-04T04:34:26

The domain of $tan x$ is all real numbers except $pi/2 + pin$ where $n$ is an integer. The graph of $tan x$ is shown below:
graph{tan x [-10, 10, -5, 5]}
The graph of $tan x$ has an asymptote at $pi/2$ , and the period of the function is $pi$ , meaning the asymptote repeats and the function is undefined every $pi$ units in the x-direction.

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What is the domain of $f(x)=tanx$ ?

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